1. **State the problem:** We have the linear function $y = 2x + 3$ and a right triangle with vertices at $(0,0)$, $(2,0)$, and $(2,3)$. We want to understand the relationship between the function and the triangle. 2. **Evaluate the function at $x=2$:** Substitute $x=2$ into the function: $$y = 2(2) + 3 = 4 + 3 = 7$$ So, the point on the line at $x=2$ is $(2,7)$. 3. **Compare with the triangle's height:** The triangle's height is from $(2,0)$ to $(2,3)$, so the height is 3 units. 4. **Analyze the hypotenuse:** The hypotenuse connects $(0,0)$ to $(2,3)$. The slope of this line is: $$m = \frac{3 - 0}{2 - 0} = \frac{3}{2} = 1.5$$ 5. **Compare the function's slope:** The function $y=2x+3$ has slope 2, which is steeper than the hypotenuse's slope 1.5. 6. **Interpretation:** The point $(2,3)$ lies on the hypotenuse, but the function's value at $x=2$ is $7$, which is above the triangle's top vertex. **Final answer:** The function $y=2x+3$ evaluated at $x=2$ gives $y=7$, which is higher than the triangle's height of 3 at that $x$-coordinate. The triangle's hypotenuse has slope $1.5$, less steep than the function's slope $2$.